English

Toric cubes are closed balls

Algebraic Geometry 2012-02-28 v1 Combinatorics Logic

Abstract

We prove that toric cubes, which are images of [0,1]d[0,1]^d under monomial maps, are the closures of graphs of monotone maps, and in particular semi-algebraically homeomorphic to closed balls.

Cite

@article{arxiv.1202.5572,
  title  = {Toric cubes are closed balls},
  author = {Saugata Basu and Andrei Gabrielov and Nicolai Vorobjov},
  journal= {arXiv preprint arXiv:1202.5572},
  year   = {2012}
}

Comments

3 pages

R2 v1 2026-06-21T20:24:49.837Z